Displaying similar documents to “Presentations for the punctured mapping class groups in terms of Artin groups.”

Generalizations of the Jensen-Steffensen and related inequalities

Milica Bakula, Marko Matić, Josip Pečarić (2009)

Open Mathematics

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We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.

Curves with finite turn

Jakub Duda (2008)

Czechoslovak Mathematical Journal

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In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed by Alexandrov, Pogorelov, and Reshetnyak) of angular turn in Euclidean spaces to curves with values in arbitrary Banach spaces. In particular, we manage to prove the equality of angular turn and angular turn of tangents in Hilbert spaces. One of the implications was only proved in the finite dimensional context previously, and equivalence...